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Finding the Fourth Proportional to 140,663.12, 210,950.94 and 47,147

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Solution

The fourth proportional to 140,663.12, 210,950.94 and 47,147 is: 70,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,663.12 : 210,950.94 = 47,147 : x
  2. Step 2: Convert to fraction form
    140,663.12/210,950.94 = 47,147/x
  3. Step 3: Cross multiply
    140,663.12x = 210,950.94 × 47,147
  4. Step 4: Simplify right side
    140,663.12x = 9,945,703,968.18
  5. Step 5: Solve for x
    x = 9,945,703,968.18/140,663.12
  6. Step 6: Final answer
    x = 70,705.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.